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111904299441 = 341123121092
BaseRepresentation
bin110100000111000000…
…1000001100110110001
3101200211210200102010000
41220032001001212301
53313140000040231
6123224053300213
711041043564604
oct1501601014661
9350753612100
10111904299441
1143505072500
1219830634669
13a724ba76cc
1455b808a33b
152d9e3a46e6
hex1a0e0419b1

111904299441 has 135 divisors (see below), whose sum is σ = 191620364859. Its totient is φ = 65030882400.

The previous prime is 111904299407. The next prime is 111904299473. The reversal of 111904299441 is 144992409111.

The square root of 111904299441 is 334521.

It is a perfect power (a square), and thus also a powerful number.

111904299441 is a `hidden beast` number, since 1 + 11 + 90 + 429 + 94 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77996759841 + 33907539600 = 279279^2 + 184140^2 .

It is not a de Polignac number, because 111904299441 - 231 = 109756815793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111904294441) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1026644895 + ... + 1026645003.

Almost surely, 2111904299441 is an apocalyptic number.

111904299441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111904299441 is the 334521-st square number.

111904299441 is the 167261-st centered octagonal number.

It is an amenable number.

111904299441 is a deficient number, since it is larger than the sum of its proper divisors (79716065418).

111904299441 is an equidigital number, since it uses as much as digits as its factorization.

111904299441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 111904299441 in words is "one hundred eleven billion, nine hundred four million, two hundred ninety-nine thousand, four hundred forty-one".

Divisors: 1 3 9 11 27 31 33 81 93 99 109 121 279 297 327 341 363 837 891 961 981 1023 1089 1199 2511 2883 2943 3069 3267 3379 3597 3751 8649 8829 9207 9801 10137 10571 10791 11253 11881 13189 25947 27621 30411 31713 32373 33759 35643 37169 39567 77841 91233 95139 97119 101277 104749 106929 111507 116281 118701 130691 273699 285417 303831 314247 320787 334521 348843 356103 368311 392073 408859 856251 942741 962361 1003563 1046529 1068309 1104933 1152239 1176219 1226577 1437601 2828223 3010689 3139587 3314799 3456717 3528657 3679731 4051421 4312803 8484669 9418761 9944397 10370151 10585971 11039193 11417641 12154263 12674629 12938409 29833191 31110453 33117579 34252923 36462789 38023887 38815227 44565631 93331359 102758769 109388367 114071661 116445681 125594051 133696893 308276307 328165101 342214983 376782153 401090679 924828921 1026644949 1130346459 1203272037 1381534561 3391039377 3609816111 4144603683 10173118131 12433811049 37301433147 111904299441